3046648066224 has 320 divisors, whose sum is σ = 9177309757440. Its totient is φ = 852985728000.

The previous prime is 3046648066219. The next prime is 3046648066229. The reversal of 3046648066224 is 4226608466403.

It is a Cunningham number, because it is equal to 1745465²-1.

It is an interprime number because it is at equal distance from previous prime (3046648066219) and next prime (3046648066229).

It is not an unprimeable number, because it can be changed into a prime (3046648066229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4409041719 + ... + 4409042409.

It is an arithmetic number, because the mean of its divisors is an integer number (28679092992).

Almost surely, 2^{3046648066224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3046648066224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588654878720).

3046648066224 is an abundant number, since it is smaller than the sum of its proper divisors (6130661691216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3046648066224 is a wasteful number, since it uses less digits than its factorization.

3046648066224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 3046648066224 in words is "three trillion, forty-six billion, six hundred forty-eight million, sixty-six thousand, two hundred twenty-four".